Explore topic-wise MCQs in Signals & Systems.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

Find x( ) if X(s) is given by ( frac{s-2}{s(s+4)} ).

A. 1
B. -1
C. ( frac{1}{2} )
D. ( frac{1}{2} )
Answer» E.
Discussion
2.

Determine the initial value x(0+) for the Laplace transform X(s) = ( frac{4}{s^2+3s-5} ).

A. -1
B. 0
C. 1
D.
Answer» C. 1
Discussion
3.

Find the final value of the function F(s) given by ( frac{(s-1)}{s(s^2-1)} ).

A. 1
B. 0
C. -1
D.
Answer» B. 0
Discussion
4.

Find the initial value of f(t) if F(s) = ( frac{s}{(s+a)^2+ ^2} ).

A. 0
B. -1
C.
D. 1
Answer» E.
Discussion
5.

Find the Laplace transform for f(t) = ( frac{1}{t} ) [e-2t e-3t]u(t).

A. ln ( left( frac{s-2}{s-3} right) )
B. ln ( left( frac{s+2}{s+3} right) )
C. ln ( left( frac{s-2}{s+3} right) )
D. ln ( left( frac{s+2}{s-3} right) )
Answer» C. ln ( left( frac{s-2}{s+3} right) )
Discussion
6.

Find the Laplace transform of the signal x(t) = te- t.

A. ( frac{1}{s^2} )
B. ( frac{1}{(s+ )^2} )
C. ( frac{1}{ } )
D. ( frac{1}{s+ } )
Answer» C. ( frac{1}{ } )
Discussion
7.

Find the Laplace transform of the signal x(t) = ( frac{d (t)}{dt} ).

A. 1
B. s
C. ( frac{1}{s} )
D. s<sup>2</sup>
Answer» C. ( frac{1}{s} )
Discussion
8.

Find the Laplace transform of the signal x(t) = sin ( ( frac{t}{2} ))u( ( frac{t}{2} )).

A. ( frac{1}{s^2+1} )
B. ( frac{s}{s^2+1} )
C. ( frac{2s}{(2s)^2+1} )
D. ( frac{2}{(2s)^2+1} )
Answer» E.
Discussion
9.

Find the Laplace transform of the signal x(t) = e-2t cos (200 t)u(t).

A. ( frac{s}{s^2+(200 )^2} )
B. ( frac{s}{s^2-(200 )^2} )
C. ( frac{s-2}{(s-2)^2+(200 )^2} )
D. ( frac{s+2}{(s+2)^2+(200 )^2} )
Answer» E.
Discussion
10.

Find the Laplace transform of x(t) = u(t+2) + u(t-2).

A. ( frac{cos u20612s}{s} )
B. ( frac{cosh u20612s}{s} )
C. ( frac{sinh u20612s}{s} )
D. ( frac{sin u20612s}{s} )
Answer» C. ( frac{sinh u20612s}{s} )
Discussion